{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from prml.markov_models import CategoricalHMM, GaussianHMM, Kalman, Particle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "gaussian_hmm = GaussianHMM(\n",
    "    initial_proba=np.ones(3) / 3,\n",
    "    transition_proba=np.array([[0.9, 0.05, 0.05], [0.05, 0.9, 0.05], [0.05, 0.05, 0.9]]),\n",
    "    means=np.array([[0, 0], [2, 10], [10, 5]]),\n",
    "    covs=np.asarray([np.eye(2) for _ in range(3)]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "seq = gaussian_hmm.draw(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1xcXFZGdna/NsXKlTCPrqCDZ4SZk6h7Tpz5MwZS6jR48mIiKCT0NySJ22AMuM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yVT00OhUMPrqaptIhqNRilrRDqOXq+HXC5vaq1PrzAYDGBZtqG74QpZq8nJyapm1v32t7+FRqPB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\nOQptHZQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bfa7a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "plt.scatter(seq[:, 0], seq[:, 1])\n",
    "plt.plot(seq[:, 0], seq[:, 1], \"k\", linewidth=0.1)\n",
    "for i, p in enumerate(seq):\n",
    "    plt.annotate(str(i), p)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "posterior = gaussian_hmm.fit(seq)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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V27B6PHS64XoioyLR6PXMG3sjoceS/Dt37kxxcTF6vf5cPS4hhLjgSVAlTsni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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f15ae48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "plt.scatter(seq[:, 0], seq[:, 1], c=np.argmax(posterior, axis=-1))\n",
    "plt.plot(seq[:, 0], seq[:, 1], \"k\", linewidth=0.1)\n",
    "for i, p in enumerate(seq):\n",
    "    plt.annotate(str(i), p)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "categorical_hmm = CategoricalHMM(\n",
    "    initial_proba=np.ones(2) / 2,\n",
    "    transition_proba=np.array([[0.95, 0.05], [0.05, 0.95]]),\n",
    "    means=np.array([[0.8, 0.2], [0.2, 0.8]]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "seq = categorical_hmm.draw(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "posterior = categorical_hmm.forward_backward(seq)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "hidden = categorical_hmm.viterbi(seq)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1Cs3V98I7KvpBoKJfIKn0JtMa3qla0nvFJhLJMltSGsS1cUu0FHh9ABupJG2X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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10eefd358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(posterior[:, 1])\n",
    "plt.plot(hidden)\n",
    "for i in range(0, len(seq)):\n",
    "    plt.annotate(str(seq[i]), (i, seq[i] / 2. + 0.2))\n",
    "plt.xlim(-1, len(seq))\n",
    "plt.ylim(-0.1, np.max(seq) + 0.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Iuh8Zce8Q2Iu2lVXCRPHGXRl87+ISTNuFrkVf3y8s1As7e2u+bzCB715Yarhmq2Q6vDOQ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\nyDx+24EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104104ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "seq = np.concatenate(\n",
    "    (np.arange(50)[:, None] * 0.1 + np.random.normal(size=(50, 1)),\n",
    "     np.random.normal(loc=5., size=(50, 1)),\n",
    "     5 - 0.1 * np.arange(50)[:, None] + np.random.normal(size=(50, 1))), axis=0)\n",
    "seq = np.concatenate((seq, np.gradient(seq, axis=0)), axis=1)\n",
    "plt.plot(seq[:, 0])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "kalman = Kalman(\n",
    "    transition=np.array([[1, 1], [0, 1]]),\n",
    "    observation=np.eye(2),\n",
    "    process_noise=np.eye(2) * 0.01,\n",
    "    measurement_noise=np.eye(2) * 100,\n",
    "    init_state_mean=np.zeros(2),\n",
    "    init_state_cov=np.eye(2) * 100)\n",
    "mean, var = kalman.filtering(seq)\n",
    "velocity = mean[:, 1]\n",
    "mean = mean[:, 0]\n",
    "std = np.sqrt(var[:, 0, 0]).ravel()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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f855IidvO3lY7n1Sm8js6CoBN9U5mZrayt9VGcZMjtj2oCp4tyaEpaMYTMuFq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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c43a3c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(seq[:, 0], label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"error\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PfOfkpa1DAL0NltHsFly8bHUWQHMTjn4b1zSrJPC4o60SziohpEbjEgUgvgYc3Yex2OBx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\nf31ZV/jdKk/qAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10415fd30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "seq = np.zeros((100, 1)) + np.random.normal(loc=2., size=(100, 1))\n",
    "seq[20:80] = np.nan\n",
    "plt.plot(seq)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "kalman = Kalman(\n",
    "    transition=np.eye(1),\n",
    "    observation=np.eye(1),\n",
    "    process_noise=np.eye(1) * 0.01,\n",
    "    measurement_noise=np.eye(1),\n",
    "    init_state_mean=np.zeros(1),\n",
    "    init_state_cov=np.eye(1) * 100)\n",
    "\n",
    "mean, var = kalman.filtering(seq)\n",
    "mean = mean.ravel()\n",
    "std = np.sqrt(var).ravel()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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hKWY7INclrEUr4R8cfLG5gFYUROk2nTvo1TB0YNSHhw+xBgir4uLSzE88+7US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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cc13710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(seq, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"error\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def nll(x, particle):\n",
    "    return np.sum(100. * (x - particle) ** 2, axis=-1)\n",
    "particle = Particle(1000, 1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "estimate = particle.filtering(seq)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ps0H3ANrA34ucCsHyuB1ZJWQtkmuQgKIRv7w27IdfFFg6YCWP24mwQ53HAk7i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\nxDDCbTAYDEuM/w9aRj/cgVE4+wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ea59da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(seq[:, 0], label=\"observation\")\n",
    "plt.plot(estimate, label=\"estimate\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [Root]",
   "language": "python",
   "name": "Python [Root]"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
